What are the solutions to the equation completesquare-3x^2-36x-100 ?

The solutions to the equation completesquare-3x^2-36x-100 are -3(x+6)^2+8

Find the zeros of completesquare-3x^2-36x-100

The zeros of completesquare-3x^2-36x-100 are -3(x+6)^2+8

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complete the square

- 3 x^{2} - 36 x - 100

- 3 (x + 6)^{2} + 8

Solution steps

- 3 x^{2} - 36 x - 100

Write

- 3 x^{2} - 36 x - 100

in the form:

x^{2} + 2 a x + a^{2}

Factor out

- 3

- 3 (x^{2} + 12 x + \frac{100}{3})

2 a = 12 : a = 6

Add and subtract

6^{2}

- 3 (x^{2} + 12 x + \frac{100}{3} + 6^{2} - 6^{2})

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} + 12 x + 6^{2} = (x + 6)^{2}

- 3 ((x + 6)^{2} + \frac{100}{3} - 6^{2})

Simplify

- 3 (x + 6)^{2} + 8

6 y + 10 = y^{2} + 3 y

16 y^{2} - 25 = 0

(4 x + 9)^{2} = 25

(x + 10) (x - 5) = 0

x^{2} + 5 x = 126

What are the solutions to the equation completesquare-3x^2-36x-100 ?
The solutions to the equation completesquare-3x^2-36x-100 are -3(x+6)^2+8
Find the zeros of completesquare-3x^2-36x-100
The zeros of completesquare-3x^2-36x-100 are -3(x+6)^2+8